step 1 For exercise 5, we have 1 over 2x plus 1. So I'm just going to write that as 2x plus 1 equals 1

Solve. 12 x+1=5 | Numerade

Name: Problem 5, Chapter 7: Elementary Algebra
Uploaded: 2022-02-02T21:39:20-08:00
Duration: 50 s
Channel: Victor Salazar
Description: Solve. 12 x+1=5

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Key Concepts

Linear Equations

A linear equation is an equation where the highest power of the variable is one. This type of equation can be represented graphically as a straight line and has a constant rate of change. Linear equations form the foundation of algebra and are used in a variety of applications to represent relationships with a constant gradient.

Isolation of Variables

Isolating the variable involves rewriting an equation so that the unknown quantity stands alone on one side of the equation. This technique is critical in solving equations because it allows for the determination of the variable's value by systematically undoing operations applied to it.

Inverse Operations

Inverse operations are operations that reverse each other, such as addition with subtraction or multiplication with division. They are used to undo the effects of operations in an equation, making it possible to isolate the variable and solve the equation.

Maintaining Equality

In the process of solving equations, it is vital to perform the same operation on both sides of the equation. This principle, known as the maintenance of equality, ensures that the original balance of the equation is preserved throughout the manipulation, leading to a correct solution.

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